Proof about σ-algebra

Question

For every family A of subsets in X there exists a unique minimal σ-algebra containing A. How do we prove this ? Can somebody help me please ?

Any thoughts on the problem? Can you give an example for a $\sigma$-algebra containing $A$? — saz, Oct 24 '15 at 18:14

score 1 · Answer 1 · answered Oct 24 '15 at 20:29

1

Does there exist a $\sigma$-algebra containing $A$? Is the intersection of any collection of $\sigma$-algebras also a $\sigma$-algebra?

answered Oct 24 '15 at 20:29

Paul Sinclair

1 Answers1